Question

sin 70° – cos40° = sin 10°​

Answer 1

ANSWER

sin70

∘

−cos40

∘

=sin70

∘

−cos(90

∘

−50

∘

)

=sin70

∘

−sin50

∘

=2sin(

2

70

∘

−50

∘

)cos(

2

70

∘

+50

∘

)

=2sin10

∘

cos60

∘

=2sin10

∘

⋅1/2

=sin10

∘

Answer 2

Sin70 - Cos(90-50)
Sin70 - Sin50

Now SinC-SinD formula

2 . Sin(70-50/2) . Cos(70+50/2)
2 . Sin(20/2) . Cos(120/2)
2 . Sin10 . Cos60
2 . Sin10 . 1/2
Sin10//